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Finding the Fourth Proportional to 743.14, 1,025.52 and 424.17

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Solution

The fourth proportional to 743.14, 1,025.52 and 424.17 is: 585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.14 : 1,025.52 = 424.17 : x
  2. Step 2: Convert to fraction form
    743.14/1,025.52 = 424.17/x
  3. Step 3: Cross multiply
    743.14x = 1,025.52 × 424.17
  4. Step 4: Simplify right side
    743.14x = 434,993.23
  5. Step 5: Solve for x
    x = 434,993.23/743.14
  6. Step 6: Final answer
    x = 585.34

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.